Black hole chemistry: thermodynamics with Lambda

Abstract

We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach, the mass of the black hole is no longer regarded as internal energy, rather it is identified with the chemical enthalpy. This leads to an extended dictionary for black hole thermodynamic quantities, in particular a notion of thermodynamic volume emerges for a given black hole spacetime. This volume is conjectured to satisfy the reverse isoperimetric inequality - an inequality imposing a bound on the amount of entropy black hole can carry for a fixed thermodynamic volume. New thermodynamic phase transitions naturally emerge from these identifications. Namely, we show that black holes can be understood from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. We also review the recent attempts at extending the AdS/CFT dictionary in this setting, discuss the connections with horizon thermodynamics, applications to Lifshitz spacetimes, and outline possible future directions in this field.

91 pages, 17 figures, Invited Topical Review by CQG v3: corrected some statements about the AdS/CFT interpretation in Sec. 5

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• Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
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• Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
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• Evolving Black Holes in Inflation
• Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors-the temperature and repulsive interaction among BH molecules
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Photon orbits and phase transitions in Born-Infeld-dilaton black holes
• Magnetically charged AdS black holes and Joule-Thomson expansion
• Quasinormal modes, greybody factors and thermodynamics of four dimensional AdS black holes in Critical Gravity
• Are Superentropic black holes superentropic?
• Thermodynamics of FRW Universe: Heat Engine
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
• More Exact Thermodynamics of Nonlinear Charged AdS Black Holes in 4D Critical Gravity
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• Light Deflection by Rotating Regular Black Holes with a Cosmological Constant
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• Central charge criticality of charged AdS black hole surrounded by different fluids
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• Nonsingular black hole chemistry in $4D$ Einstein-Gauss-Bonnet gravity
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• An improved derivation of the Smarr Formula for Lorentz-breaking gravity
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• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
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• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
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• Particle-antiparticle in 4D charged Einstein-Gauss-Bonnet black hole
• Extremal Vanishing Horizon Kerr-AdS Black Holes at Ultraspinning Limit
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• $\mathcal{P}-v$ Criticality in Gauged Supergravities
• Nonlinearity effect on Joule-Thomson expansion of Einstein-power-Yang-Mills AdS black hole
• The Phase Diagram of BPS Black Holes in AdS${}_5$
• Extended Thermodynamics of Self-Gravitating Skyrmions
• Critical Behaviour and Microscopic Structure of Charged AdS Black Hole with a Global Monopole in Extended and Alternate Phase Spaces
• A Note on Smarr Relation and Coupling Constants
• Emergent Gravity in a Holographic Universe
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• Four $\mathbb{STU}$ Black Holes Shadows
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• Matching partition functions of deformed JT gravity and the cSYK model
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Analytic phase structures and thermodynamic curvature for the charged AdS black hole in alternative phase space
• Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond
• Deciphering black hole phase transitions through photon spheres
• Generalized Charged Nariai Solutions in Arbitrary Even Dimensions with Multiple Magnetic Charges
• Thermodynamics of $z=4$ Hořava-Lifshitz black holes
• Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
• Critical Heat Engines in Massive Gravity
• The Interior Volume of Kerr-AdS Black Holes
• Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity
• Scalar fields and Lifshitz black holes from Derrick's theorem evasion
• Microstructure and continuous phase transition of a regular Hayward black hole in anti-de Sitter spacetime
• The zeroth law in quasi-homogeneous thermodynamics and black holes
• Restricted Phase Space Thermodynamics of NED-AdS Black Holes
• Charged scalar-tensor solitons and black holes with (approximate) Anti-de Sitter asymptotics
• Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling
• Critical Black Holes in a Large Charge Limit
• Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
• Universality for Black Hole Heat Engines Near Critical Points
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Revisiting the Second Law and Weak Cosmic Censorship Conjecture in High-Dimensional Charged-AdS Black Hole: an Additional Assumption
• A Local First Law of Gravity
• Holographic Entanglement Entropy and Van der Waals transitions in Einstein-Maxwell-dilaton theory
• Interaction Between AdS Black Hole Molecules
• Topological Mod(A)Max AdS black holes
• Can we know about black hole thermodynamics through shadows?
• Extended phase space thermodynamics of black hole with non-linear electrodynamic field
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• Regular black holes in isothermal cavity
• Euclidean methods and phase transitions for the strongest deformations compatible with Schwarzschild asymptotics
• Meronic AdS Black Holes in Gauss-Bonnet Theory
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Black hole solutions in theory of ModMax-dRGT-like massive gravity
• Overview of thermodynamic properties for Reissner-Nordstrom-de Sitter spacetime in induced phase space
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Event Horizon Wrinklification
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• A varying gravitational constant map in asymptotically AdS black hole thermodynamics
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Bulk-Boundary Thermodynamics of Charged Black Holes in Higher Derivative Theory
• A black hole solution in conformal supergravity
• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Black hole solutions to Einstein-Bel-Robinson gravity
• Thermodynamics of Inhomogeneously Mass-deformed ABJM Model and Pressure Anisotropy
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• Quantum gravitational corrections to the geometry of charged AdS black holes
• General mass formulas for charged Kerr-AdS black holes
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Tunneling of Hawking radiation for BTZ black hole revisited
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Thermodynamics of Graviton Condensate
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Thermodynamic Topological Classes of Family of Black Holes with NUT-Charge
• Thermodynamic bounce effect in quantum BTZ black hole
• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
• Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Generalized holographic complexity of rotating black holes
• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• Joule-Thomson Expansion of Born-Infeld AdS Black Holes
• Scalarized Einstein-Maxwell-scalar Black Holes in Anti-de Sitter Spacetime
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Thermodynamics of bosonic systems in adS spacetime
• Charged Lifshitz black holes from general covariance breaking
• High temperature AdS black holes are low temperature quantum phonon gases
• Quasilocal Smarr relations for static black holes
• On thermodynamics of compact objects
• Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• A new measure of thermal micro-behavior for the AdS black hole
• Topology of black hole thermodynamics: A brief review
• The quasilocal energy and thermodynamic first law in accelerating AdS black holes
• $\lambda$ phase transition in Horava gravity
• Characteristic interaction potential of black hole molecules from the microscopic interpretation of Ruppeiner geometry
• Holographic Joule-Thomson Expansion in Lower Dimensions
• Higher-Curvature Gravity, Black Holes and Holography
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity
• Can Bekenstein's area law prevail in modified theories of gravity?
• Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence
• Localized thermal states and negative energy
• A New Phase Transition Related to the Black Hole's Topological Charge
• Evidence for NO violation of the second law in extended black hole thermodynamics
• Regularization ambiguity and van der Waals black hole in 2+1 dimensions
• Quantum Oppenheimer-Snyder models in loop quantum cosmology with Lorentz term
• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
• Generating Kerr-anti-de Sitter thermodynamics
• Physical reinterpretation of heat capacity discontinuities for static black holes
• Dynamical de Sitter black holes in a quasi-stationary expansion
• Holographic pressure and volume for black holes
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Carroll black holes in (A)dS and their higher-derivative modifications
• Black Hole Entropy and Boundary Conditions
• Joule-Thomson expansion of the torus-like black hole
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Universal Relations with the Non-Extensive Entropy Perspective
• An alternative study about the geometry and the first law of thermodynamics for AdS Lovelock gravity, using the definition of conserved charges
• Thermodynamics of BPS and Near-BPS AdS6 Black Holes
• Complexity growth rate, grand potential and partition function
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• Unruh thermal hadronization and the cosmological constant
• Simpson-Visser-AdS Black Holes: Thermodynamics and Binary Merger
• Geometrothermodynamics of black hole binary systems
• Thermodynamics of dyonic black holes in non-linear electrodynamics
• Topological Signatures and Geometrothermodynamics of Critical Phenomena in Regularized Maxwell Black Holes
• Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
• Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics
• The role of the cosmological constant as a pressure in the (2+1)-dimensional black string
• Topological perspective on bulk boundary thermodynamic equivalence
• GUP corrections to black hole thermodynamics in the extended phase space approach
• Three-dimensional static black hole with $\Lambda$ and nonlinear electromagnetic fields and its thermodynamics
• Radiation Spectra and Effective Temperatures in Higher-Dimensional Charged-de Sitter Black Holes
• Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source
• The radial distribution function reveals the underlying mesostructure of the AdS black hole
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• Dynamics and kinetics of phase transition for regular AdS black holes in general relativity coupled to non-linear electrodynamics
• Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations
• Absence of isolated critical points with nonstandard critical exponents in the four-dimensional regularization of Lovelock gravity
• Effect of strength of gravitational field on the rate of chemical reactions
• Vacuum decay and bubble nucleation in the anti-de Sitter black holes
• Thermal chaos of quantum-corrected-AdS black hole in the extended phase space
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes
• Refined Thermodynamics of Black Holes with Proper Conserved Charges
• Thermodynamics and Phase Transitions of NUTty Dyons
• Thermodynamic and observational implications of black holes in toroidal geometry
• Cooling-Heating Properties of the FRW Universe in Gravity with a Generalized Conformal Scalar Field
• Null hypersurface caustics and super-entropic black holes
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• Extended thermodynamics and $P-v$ Criticality of Kalb-Ramond black hole coupled with nonlinear electrodynamics
• Criticality of Lower Dimensional AdS${}_d$ Black Holes
• Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha \beta }{F}^{\gamma \lambda }{R}_{\alpha \gamma \beta \lambda }$ Coupling
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Asymptotic critical behavior of holographic phase transition at finite topological charge -- the spectrum of excited states becomes continuous at $T=0$
• Holographic and QFT Complexity with angular momentum
• Black hole images as probes of thermodynamic evolution
• The entropy of Taub-Bolt-AdS from an improved action principle
• $q$-Equilibrium of Gas in Spacetime of Multi-horizon Black Holes
• The Smarr formula within the Geroch-Held-Penrose formalism
• Ultra slow-roll with a black hole
• RPST-Inspired Formalism for Black Holes in Flat Spacetime
• Scalar-hairy Lovelock gravity respects zeroth law
• Equivalence principle violation from large scale structure
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition
• On the holographic phase transitions at finite topological charge
• Holographic complexity of rotating black holes
• Black-Hole Thermodynamics from Gauge Freedom in Extended Iyer-Wald Formalism
• Black hole thermodynamic free energy as $A$-discriminants
• Tricritical point and solid/liquid/gas phase transition of higher dimensional AdS black hole in massive gravity
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity
• Planckian charged black holes and their cosmological ramifications
• Rotating Carroll Black Holes: A No Go Theorem
• Critical points in Lovelock Black Holes
• Heat Capacity and the Violation of Scaling Laws in Gravitational System
• Revisiting particle circular orbits as probes of black hole phase transitions
• Noncommutative black holes in extended anti-de Sitter phase space
• Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity
• Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath
• Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
• Hawking Radiation from Boundary Scalar Field
• Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge
• Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity
• Central Singularity of Three-Dimensional Kerr-de Sitter Black Holes
• Gravitational realization of magnons in a ferromagnetic spin chain
• Joule-Thomson expansion for noncommutative uncharged black holes
• Off-shell phase diagram of BPS black holes in AdS${}_5$
• Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime
• Thermodynamic Stability of Schwarzschild-de Sitter Black holes with Rényi entropy
• Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions
• Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Extended black hole thermodynamics in a DGP braneworld
• Extended Holographic Rényi Entropy and hyperbolic black hole with scalar hair
• Penrose-Rindler equation and horizon thermodynamics of stationary black holes
• Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole